Improving the Accuracy of Estimates of the Pulse Sequence Period Using the Methodology of Complete Sufficient Statistics

Improving the Accuracy of Estimates of the Pulse Sequence Period Using the Methodology of Complete Sufficient Statistics | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Improving the Accuracy of Estimates of the Pulse Sequence Period Using the Methodology of Complete Sufficient Statistics Константин Жучков, Mikhail Vasilchenko, Anna Zagrebneva, Alexey Zavyalov This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1388683/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 11 You are reading this latest preprint version Abstract ࣧ Using a model of a sequence of quasi-rectangular pulses as an example, an approach was illustrated to assess their period, taking into account the off-duty factor and the squareness coefficient of the pulses. Complete sufficient statistics (CSS) methodology was used. An analytical expression for the pulse repetition was presented. It was shown that for the value of the sample size (n > 8) the relative root-mean square error of the repetition period estimation by CSS is shown as a significantly smaller error than that of the traditional estimate, which is only asymptotically effective. In addition to theoretical calculations, simulation results confirming the achieved effect are presented. The results obtained are applicable for the design of the control and measuring equipment of the oil and gas industry. period estimation quasi-rectangular pulses complete sufficient statistics maximum likelihood estimation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major revision 05 Sep, 2022 Reviews received at journal 02 Sep, 2022 Reviewers agreed at journal 28 Jul, 2022 Reviews received at journal 15 Jun, 2022 Reviewers agreed at journal 31 May, 2022 Reviewers agreed at journal 31 May, 2022 Reviewers invited by journal 31 May, 2022 Editor assigned by journal 31 May, 2022 Editor invited by journal 25 Feb, 2022 Submission checks completed at journal 25 Feb, 2022 First submitted to journal 23 Feb, 2022 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-1388683","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":86586026,"identity":"3d8ce1ad-48ba-4dee-b01b-12ad90a13f50","order_by":0,"name":"Константин Жучков","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyElEQVRIiWNgGAWjYBACCSgtB8SMBxgYEojUAlRqzMDAzECalsQGorVItvce/vyBoS69XyL/wIEPFWkM/O3d+PVJ85xLkzjAwJY7c0Yyw8EZZ3IYJM6c3YBXi5xEjhnQQTy5G24kMxzmbatgMJDIJajF+MMBBol0A6K1SEvkGAAdZpAA1ZJDWItkzxkziTMMCYYzex4bAP2SxkPQLxLHe4w/VDDUyfOzJz588KEiWY6/vRe/FjBg/Idg8xBWPgpGwSgYBaOAIAAAX/JEs7LmNnMAAAAASUVORK5CYII=","orcid":"","institution":"Gubkin Russian State University of Oil and Gas","correspondingAuthor":true,"prefix":"","firstName":"Константин","middleName":"","lastName":"Жучков","suffix":""},{"id":86586027,"identity":"361653b2-7eaa-4880-9f24-1262f4159b65","order_by":1,"name":"Mikhail Vasilchenko","email":"","orcid":"","institution":"RMIT University","correspondingAuthor":false,"prefix":"","firstName":"Mikhail","middleName":"","lastName":"Vasilchenko","suffix":""},{"id":86586028,"identity":"66786dd1-f37a-4abd-8eea-ab482b417ccc","order_by":2,"name":"Anna Zagrebneva","email":"","orcid":"","institution":"Don State Technical University","correspondingAuthor":false,"prefix":"","firstName":"Anna","middleName":"","lastName":"Zagrebneva","suffix":""},{"id":86586029,"identity":"7c6cb9d0-3afc-443f-a35e-6561eefee419","order_by":3,"name":"Alexey Zavyalov","email":"","orcid":"","institution":"Gubkin Russian State University of Oil and Gas","correspondingAuthor":false,"prefix":"","firstName":"Alexey","middleName":"","lastName":"Zavyalov","suffix":""}],"badges":[],"createdAt":"2022-02-23 11:59:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1388683/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1388683/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":18752907,"identity":"e727f721-4503-43e7-aefa-c9460089b467","added_by":"auto","created_at":"2022-03-01 21:29:58","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":451712,"visible":true,"origin":"","legend":"","description":"","filename":"SPpaperv124.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1388683/v1_covered.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eImproving the Accuracy of Estimates of the Pulse Sequence Period Using the Methodology of Complete Sufficient Statistics\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1388683/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"period estimation, quasi-rectangular pulses, complete sufficient statistics, maximum likelihood estimation","lastPublishedDoi":"10.21203/rs.3.rs-1388683/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1388683/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eࣧ Using a model of a sequence of quasi-rectangular pulses as an example, an approach was illustrated to assess their period, taking into account the off-duty factor and the squareness coefficient of the pulses. 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